Nonparametric precedence chart with repetitive sampling

Abstract

In most real-world applications, such as production and manufacturing processes, the underlying process distribution does not always follow a normal distribution. In such cases, statistical process control literature recommends the use of nonparametric (or distribution-free) control charts. This paper introduces a new distribution-free precedence chart using repetitive sampling. The performance of the proposed chart is investigated in terms of the average run-length (ARL) profile. The expressions of the in-control process probability and ARL of the proposed chart are introduced using integral formulas. The out-of-control performance of the new chart is compared to that of the existing precedence charts with and without runs-rules. A numerical example is provided using real-life data to demonstrate the application and implementation of the new chart.